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Simplifying 2(y + -3) = 3(4y + -12) Reorder the terms: 2(-3 + y) = 3(4y + -12) (-3 * 2 + y * 2) = 3(4y + -12) (-6 + 2y) = 3(4y + -12) Reorder the terms: -6 + 2y = 3(-12 + 4y) -6 + 2y = (-12 * 3 + 4y * 3) -6 + 2y = (-36 + 12y) Solving -6 + 2y = -36 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -6 + 2y + -12y = -36 + 12y + -12y Combine like terms: 2y + -12y = -10y -6 + -10y = -36 + 12y + -12y Combine like terms: 12y + -12y = 0 -6 + -10y = -36 + 0 -6 + -10y = -36 Add '6' to each side of the equation. -6 + 6 + -10y = -36 + 6 Combine like terms: -6 + 6 = 0 0 + -10y = -36 + 6 -10y = -36 + 6 Combine like terms: -36 + 6 = -30 -10y = -30 Divide each side by '-10'. y = 3 Simplifying y = 3
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